A novel construction method of QC-LDPC codes based on CRT for optical communications
| Autor: | Jian-guo Yuan, Yu Pang, Meng-qi Liang, Yong Wang, Jin-zhao Lin |
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| Rok vydání: | 2016 |
| Předmět: |
Computer science
Concatenated error correction code 02 engineering and technology Code rate Condensed Matter Physics Linear code Atomic and Molecular Physics and Optics Coding gain Electronic Optical and Magnetic Materials 020210 optoelectronics & photonics Cyclic code 0202 electrical engineering electronic engineering information engineering Turbo code Constant-weight code Electrical and Electronic Engineering Low-density parity-check code Algorithm |
| Zdroj: | Optoelectronics Letters. 12:208-211 |
| ISSN: | 1993-5013 1673-1905 |
| Popis: | A novel construction method of quasi-cyclic low-density parity-check (QC-LDPC) codes is proposed based on Chinese remainder theory (CRT). The method can not only increase the code length without reducing the girth, but also greatly enhance the code rate, so it is easy to construct a high-rate code. The simulation results show that at the bit error rate (BER) of 10−7, the net coding gain (NCG) of the regular QC-LDPC(4 851, 4 546) code is respectively 2.06 dB, 1.36 dB, 0.53 dB and 0.31 dB more than those of the classic RS(255, 239) code in ITU-T G.975, the LDPC(32 640, 30 592) code in ITU-T G.975.1, the QC-LDPC(3 664, 3 436) code constructed by the improved combining construction method based on CRT and the irregular QC-LDPC(3 843, 3 603) code constructed by the construction method based on the Galois field (GF(q)) multiplicative group. Furthermore, all these five codes have the same code rate of 0.937. Therefore, the regular QC-LDPC(4 851, 4 546) code constructed by the proposed construction method has excellent error-correction performance, and can be more suitable for optical transmission systems. |
| Databáze: | OpenAIRE |
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